3744411840 has 896 divisors, whose sum is σ = 15761329920. Its totient is φ = 828112896.

The previous prime is 3744411817. The next prime is 3744411851. The reversal of 3744411840 is 481144473.

It is a happy number.

3744411840 is a `hidden beast` number, since 37 + 4 + 441 + 184 + 0 = 666.

3744411840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3744411795 and 3744411804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70649254 + ... + 70649306.

It is an arithmetic number, because the mean of its divisors is an integer number (17590770).

Almost surely, 2^3744411840 is an apocalyptic number.

3744411840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7880664960).

3744411840 is an abundant number, since it is smaller than the sum of its proper divisors (12016918080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3744411840 is a wasteful number, since it uses less digits than its factorization.

3744411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3744411840 is about 61191.5994234503. The cubic root of 3744411840 is about 1552.8441487750.

It can be divided in two parts, 37444 and 11840, that added together give a square (49284 = 222²).

The spelling of 3744411840 in words is "three billion, seven hundred forty-four million, four hundred eleven thousand, eight hundred forty".